SOLUTION: you are selecting a cricket team of first 11 players out of 16 including 4 bowlers and 2 wicket-keepers.in how many ways you can do it so that the team contain exactly 3 bowl

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Question 1024533: you are selecting a cricket team of first 11 players out
of 16 including 4 bowlers and 2 wicket-keepers.in how many
ways you can do it so that the team contain exactly 3
bowlers and 1 wicket-keeper?
(a) 960
(b) 840
(c) 420
(d) 252
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
you are selecting a cricket team of first 11 players out
of 16 including 4 bowlers and 2 wicket-keepers.in how many
ways you can do it so that the team contain exactly 3
bowlers and 1 wicket-keeper?
(a) 960
(b) 840
(c) 420
(d) 252

[That's just case A only of the other problem which I 
just finished solving.)


There are:

 4 bowlers
 2 wicket-keepers
10 non-bowlers-not-wicket keepers.

There are exactly 3 bowlers, exactly 1 wicket 
keeper, and exactly 7 non-bowlers-non-wicket-keepers.

(4C3)(2C1)(10C7) = 960

Edwin